Question

Solve the equation. Check your solution.$\mathbf{2}(\mathbf{s}\mathbf{-}\mathbf{1})\mathbf{=}\mathbf{6}$

Short answer

The solution for the equation$2(s-1)=6$ is$s=4$ .

Step-by-step solution

– Separate the variable and constants

Write the original equation and separate the variable and constants.

$\begin{array}{c}2(s-1)=6\\ 2s-2=6\\ 2s-2+2=6+2\\ 2s=8\end{array}$

– Solve for s

Now, divide both sides of the equation by 2.

$\begin{array}{c}\frac{2s}{2}=\frac{8}{2}\\ s=4\end{array}$

Therefore, the solution of the equation is$s=4$ .

– Check the solution 

To check the solution, write the original equation and substitute the value ofs.

$2(s-1)=6$

Now, substitute $s=4$and check the result.

$\begin{array}{c}2(4-1)=6\\ 2\left(3\right)=6\\ 6=6\end{array}$

As the left-hand side is equal to right hand side, this signifies that the solution is correct.